List of top Mathematics Questions on types of functions asked in BITSAT

The domain of the function f(x)=sin⁻1(log₂((1)/(2)x²)) is
Let f and g be functions from R to R defined as
\( f(x) = \begin{cases} 7x^2 + x - 8, & x \le 1 \\ 4x + 5, & 1 < x \le 7 \\ 8x + 3, & x > 7 \end{cases} \)
\( g(x) = \begin{cases} |x|, & x < -3 \\ 0, & -3 \le x < 2 \\ x^2 + 4, & x \ge 2 \end{cases} \)
Then
The domain of the function f(x)=fracsin⁻1(x-3)√(9-x²) is
The domain of the function f(x)=√x²-[x]², where [x] denotes the greatest integer less than or equal to x, is:
The domain of the function
\[ f(x) = \sin^{-1} \!\left( \log_2 \left( \frac{1}{2} x^2 \right) \right) \]
is
Let \( f(x) = \dfrac{ax + b}{cx + d} \). Then \( f(x) = x \), provided that:
The domain of the function \[ f(x)=\frac{\sin^{-1}(x-3)}{\sqrt{9-x^2}} \] is
Let \( f:\mathbb{R} \to \mathbb{R} \) be a function defined by \( f(x) = \dfrac{x - m}{x - n} \), where \( m \neq n \). Then
The domain of the function \[ f(x)=\log_2\!\left(-\log_{\sqrt{2}}\!\left(1+\frac{1}{x^4}\right)-1\right) \] is:
If \( f(x) \) is an even function and \( g(x) \) is an odd function, then the function \( f \circ g \) is:
If f(x)=casesx,& x rational
1-x,& x irrationalcases then f(f(x)) is equal to:
If f(x)=1-x1+x, the domain of f⁻¹(x) is:
If f(x) is a function that is odd and even simultaneously, then f(3) - f(2) is equal to:
Let E=1,2,3,4 and F=1,2. Then the number of onto functions from E to F is